Congruent Figures

Front

What are congruent figures?

Back

Congruent figures are shapes that are identical in form and size. They can be superimposed on each other.

Front

What is a congruence statement?

Back

A congruence statement expresses that two figures are congruent, using the symbol '≅'. For example, if triangle ABC is congruent to triangle DEF, it is written as ΔABC ≅ ΔDEF.

Front

How do you identify corresponding angles in congruent figures?

Back

Corresponding angles are angles that are in the same relative position in two different figures. For example, if two triangles are congruent, the angles in one triangle correspond to the angles in the other.

Front

What is the symbol for congruence?

Back

The symbol for congruence is '≅'.

Front

If ΔABC ≅ ΔXYZ, what can you say about their sides and angles?

Back

If ΔABC ≅ ΔXYZ, then the corresponding sides and angles of both triangles are equal.

Front

What is the relationship between congruent triangles and their sides?

Back

In congruent triangles, all corresponding sides are equal in length.

Front

What is the relationship between congruent triangles and their angles?

Back

In congruent triangles, all corresponding angles are equal in measure.

Front

If two triangles have two pairs of equal angles, what can be said about them?

Back

If two triangles have two pairs of equal angles, they are congruent by the Angle-Angle (AA) criterion.

Front

What is the Angle-Side-Angle (ASA) criterion for triangle congruence?

Back

The ASA criterion states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.

Front

What is the Side-Angle-Side (SAS) criterion for triangle congruence?

Back

The SAS criterion states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.